prime element
Sign in to savenonzero, non-unit element p in a commutative ring R such that, whenever p divides ab for some a and b in R, then p divides a or p divides b (or both)
Connections
mathematics
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International Standard Book Number
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prime number
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integer
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abstract algebra
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fundamental theorem of arithmetic
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commutative ring
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integral domain
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Springer Science+Business Media
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Gaussian integer
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prime ideal
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Euclid's lemma
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polynomial ring
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Euclidean domain
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Mathematical Reviews
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unique factorization domain
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quotient ring
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algebraic integer
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irreducible polynomial
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unit
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